January in Topeka is the coldest month of the year. In January, the weather in Topeka is typically cold. Average daily high temperature in January is about 2 degrees above zero. On average, Topeka has 15 partly cloudy, 12 sunny, 2 rainy, and 2 cloudy days in January. The rains are usually light. January as well as February, March, and December is considered the most uncomfortable time to visit Topeka.